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6671043456 = 2737211167193
BaseRepresentation
bin1100011011010000…
…00000101110000000
3122012220202010020120
412031220000232000
5102130241342311
63021543340240
7324212635200
oct61550005600
918186663216
106671043456
1129136a2760
121362151680
1382410a0bc
14473daa400
152909da706
hex18da00b80

6671043456 has 384 divisors, whose sum is σ = 22738786560. Its totient is φ = 1713438720.

The previous prime is 6671043443. The next prime is 6671043499. The reversal of 6671043456 is 6543401766.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34564896 + ... + 34565088.

It is an arithmetic number, because the mean of its divisors is an integer number (59215590).

Almost surely, 26671043456 is an apocalyptic number.

6671043456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6671043456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369393280).

6671043456 is an abundant number, since it is smaller than the sum of its proper divisors (16067743104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6671043456 is a wasteful number, since it uses less digits than its factorization.

6671043456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 6671043456 is about 81676.4559466190. The cubic root of 6671043456 is about 1882.4838393065.

The spelling of 6671043456 in words is "six billion, six hundred seventy-one million, forty-three thousand, four hundred fifty-six".